No, area cannot be negative. The least amount of area you can have is zero.
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No, because to have a negative area means to have less than zero area.
not in the real world. The area of a square = The length of a side, squared. Any number squared is positive.
The base can be any non-negative number, with the height then being 40/base.
materials that have a separated positive and negative areas are called Polarmaterials that doesnt have no separated positive or negative is called Nonpolar
The sides of a triangle are its lengths are cannot be negative. However, you could place a triangle on coordinate system and some points where the vertices are could be negative numbers.